The line y=−0.5x+b passes through the points (1,5.5), (3,p), (4,4), and (7,n). Find b, n, and p.
Answers
Step-by-step explanation:
Finding b
If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:
Using (4,4)
⇒ y - 4 = - 0.5 (x - 4)
y - 4 = - 0.5 x + 2
y = -0.5 x + 6
∴ b = 6Calculating 'n' and 'p'
We can find n and p by plugging the points into the newly found equation y = -0.5 x + 6.
For n using (7, n)
since y = -0.5 x + 6
n = -0.5 (7) + 6
∴ n = 2.5For p using (3,p)
since y = -0.5 x + 6
p = - 0.5 (3) + 6
p = - 1.5 + 6
p = 4.5Checking the answer
We can check the answer we got in two ways:
We could also have found n a different way:Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂) respectively
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
- 0.5 = (n - 4) ÷ (7 - 4)
- 0.5 = ⁿ⁻⁴/₃ [multiply both sides by 3]
- 1.5 = n - 4 [add four to both sides]
n = 2.5 [this matches the value of n we found]
We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.
Related Questions
Find the linear correlation coefficient for the table below. Keep 4 numbers AFTER the decimal
х
у
1
5
3
7
1.5 6
0
1
5
9
10 10
5
8
11
12
15 20
Answers
Answer:
no answer sorry I only study in class 7
Please help, I need answers!
Q1
Solve for x.
7(x + 5) - 6x = 55
50
20
60
90
Q2
c−1.5+6.8=0.6
Answer in a decimal please
Answers
Answer:
[tex]Q.1)\:x=20[/tex]
[tex]Q.2)c=-4.7[/tex]
Step-by-step explanation:
[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]
Use the distributive property to multiply 7 by x+5 :
[tex]x+35=55[/tex]
Subtract 35 from both sides:
[tex]x+35-35=55-35[/tex]
[tex]x=20[/tex]
___________________________
[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]
[tex]-1.5+6.8=5.3[/tex]
[tex]c+5.3=0.6[/tex]
Subtract 5.3 from both sides:
[tex]c+5.3-5.3=0.6-5.3[/tex]
[tex]c=-4.7[/tex]
____________________________
4
Find the equation of the line parallel to line h that
passes through (-4, 2).
Y=-1/3x+10/3 y=-1/3x2/3 y= 3xx+14 y=-3x-10
It’s A y=1/3x+10/3
Answers
Answer:
y = 1/3x + 10/3
Step-by-step explanation:
Slope: 1/3
Point (-4,2)
b = 2 - (1/3)(-4) = 10/3
Can someone help me with this math question the right answers
Answers
Answer:
4 C
Step-by-step explanation:
Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.
Answer:
3 x 10 to the 6th power
Step-by-step explanation:
To solve, divide the amount of cells in the human body by the population of north Carolina:
[tex]\frac{3*10^1^3}{1*10^7} = \frac{30000000000000}{10000000} = 3000000 = 3*10^6[/tex]
3265÷37=?3265, divided by, 37,Write your answer as a whole number and remainder.
Answers
Answer:
the answer in decimal is
88.243
What is the value of c?
Answers
Answer:
45
Step-by-step explanation:
Because GH=GI
so H=I=45
Answer:
[tex]c = 45[/tex]
Step-by-step explanation:
[tex]Isosceles \: Right \: Tringle[/tex]
[tex]∠c=∠GIH[/tex]
[tex]180-90=90[/tex]
[tex]c = \frac{90}{2} [/tex]
[tex]c = 45[/tex]
-2 13/15 -0.75 2 from greatest to least
Answers
Answer:
greatest (2, 13/15, -0.75, -2) least
Step-by-step explanation:
jasmine ran 5 miles in 42 minutes. what rate did jasmine run.
jasmine rate was.
Answers
P-6+2<-5 solve each inequality and graph its solution, i am lost
Answers
Answer:
P < -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]P - 6 + 2 < -5[/tex] [tex]P - 4 < -5[/tex]Step 2: Add 4 to both sides.
[tex]P - 4 + 4 < -5 + 4[/tex] [tex]P < -1[/tex]Therefore, the answer is P < -1! (Also, the graphed solution is below.)
Someone help please quickly
3(x-2)/4 + 3(x-3)/8 = 1/2
● 1/9
● 9
● 1/3
The / are the fraction lines not divide
Answers
9514 1404 393
Answer:
x = 25/9
Step-by-step explanation:
3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given
6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8
6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses
9x -21 = 4 . . . . . . . . . . . . . . . collect terms
9x = 25 . . . . . . . . . . . . . . . . add 21
x = 25/9 . . . . . . . . . . . . . . divide by 9
Answer:
I got =
[tex]2 \ \frac{7}{9} [/tex]
Step-by-step explanation:
[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]
[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]
The area of a rectangle is 360 cm, and the length is 2 cm more than the width Find the width
Answers
Explanation:
Let x = width (W)
Let x + 2 = length (L)
Area (A) = L*W
x(x+2) = 360
x^2 + 2x = 360
x^2 + 2x - 360 = 0
(x + 20)(x - 18) = 0
x + 20 = 0
x = -20
^^^ reject because distance can’t be negative
x - 18 = 0
x = 18 (width)
x + 2 = 20 (length)
Check:
A = L*W
360 = 20 * 18
360 = 360
adele started her homework at 9:10 she finished at 9:45
Answers
Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.
Answers
Answer:
7-(-3)=10
7-3=4
59-(-1)=60
-17-(-6)=(-11)
Step-by-step explanation:
In the photo !
can someone help me with this asap ? thanks !!
Answers
Answer:
domain = all real numbers
Step-by-step explanation:
An inequality is unnecessary in this situation... nor logically required.
Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Answers
Answer:
-4 - 52 i
Step-by-step explanation:
Hope this helps :)
In the year 2013 the population is California was about 38,332,521 people. Write the estimated population as a single digit times a power of 10.
Answers
Answer:
4*10^7
Step-by-step explanation:
If it is a single digit then round up the number
7 represents the number of spaces the decimal travels to make the given number a single digit.
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, 7), (2, – 5)
Line 2: (-2, 3), (-4, - 1)
Hello what is it
Answers
Your answer is neither. hope this helps :)
What is the slope of the line represented by the points in the table shown below?
x
-4
-1
5
9
y
17
8
-10
-22
m=⅓
m=-3
m=3
m=-⅓
Answers
Answer: Slope of the line formed by the data is -3.
m=-3 for y=mx+b.
Step-by-step explanation: The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line. I'll pick 2 points: (-4,17) and (9,-22). Any two points will work, if it is a straight line. For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y. x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.
The rise(y) over the run(x) for these points is thus (-39/13) = -3
The slope is -3
Which of the following number lines depicts the solution to 4(x+1) > 16 + 7x?
Answers
9514 1404 393
Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an open circle at -4 and be shaded to the left. The pictures are a bit fuzzy, but we think choice B has that description.
Help I need this pls provide expnation too thx
Answers
Find the LCD of the fractions and enter them
4/8 and 4/6
Answers
Answer:
The LCD IS 6
Step-by-step explanation:
Which of the following are solutions to the equation y= - 1/2 x + 3 . —->
Answers
Answer:2,2
Step-by-step explanation:
Answer this please because I need help nowwwww
Answers
Answer:
[tex]3(x + 4) = 3x + 11 \\ 3x + 12 = 3x + 11 \\ 3x - 3x = 12 - 11 \\ 0 = 1[/tex]
So; Not solution
Subtract.
-3-6-(-1)
Plot the solution on the number line.
Answers
Answer:
-8
Step-by-step explanation:
Start by putting a dot on the number line at -3. As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9. Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.
1/4 x 1/8 and simplify
Answers
Answer:
[tex] \frac{1}{4} \times \frac{1}{8} = \frac{1}{32} [/tex]
10 and 4/5 as a decimal
Answers
Answer:
5.4
Step-by-step explanation:
Multiply 10x5 and add 4 to get 54/10. Divided 54 by 10 and get 5.4 as your decimal answer!
Which line on the graph below has an undefined slope?
Answers
Line R has the undefined slope
Answer:
C/R
Step-by-step explanation:
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Which equation can you use to find the number of snowballs s Victor and his friends make after lunch?
Answers
Answer:
85+x=153
Step-by-step explanation:
So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153
The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.
Given data:
Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :
s + 85 = 153
In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").
Hence, the equation is s + 85 = 153
To learn more about equations, refer:
https://brainly.com/question/19297665
#SPJ3
answer fast please and thank you
Answers
Answer:
yes
Step-by-step explanation:
A baseball has a momentum of 70 kg*m/s south and a mass of 0.2 kg. What is the
ball's velocity?
Answers
Answer : Diluc + Klee = Dlee